Why does CT utilise compton scattering?

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lavster
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why does conventional xray imaging utilise photoelectric effect but ct utilise compton scattering? i know that at different energies, different mechanisms (eg compton scattering, photoeletric effect, pair production) dominate but do they not chose the energy beam to correspond the process that they want - i know they harden the beam (ie get rid of low energy photons) for example

cheers
 
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